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3 years ago

The diagram shows a right-angled triangle.

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

7 0

Answer:

h = 9.87 cm

Step-by-step explanation:

Given that,

Base, b = 8 cm

Height = h

Angle, $\theta=51^{\circ}$

We need to find the value of h. We can use trigonometry to find h.

$\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm$

So, the height of the triangle is 9.87 cm.

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Evaluate the following real numbers:

makkiz [27]

Answer:

Q.1 Answer is 9

Q.2 Answer is 0.04

Q.3 Answer is 11/12

Q.4 Answer is 3/2

Q.5 Answer is 1/12

Q.6 Answer is 3/5

Q.7 Answer is 1

Q.8 Answer is -15

Q.9 Answer is 10

Q.10 Answer is 108

5 0

3 years ago

A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th

AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is $0.551< p < 0.610$

Step-by-step explanation:

From the question we are told that

The sample size is n =1057

The number that believe there was a conspiracy is k = 614

Generally the sample proportion is mathematically represented as

$\^ p = \frac{614}{1057 }$

=> $\^ p = 0.5809$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }$

=> $E = 0.02975$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.5809 - 0.02975< p < 0.5809 + 0.02975$

=> $0.551< p < 0.610$

4 0

3 years ago

Lydia ran 10 miles in 120 minutes. How many minutes did she run per mile?

Digiron [165]

Answer:

It took Lydia 12 minutes to run each mile

Step-by-step explanation:

120/10

6 0

3 years ago

Read 2 more answers

At a concert 5/9 of the people in line are girls. 2/3 are wearing glasses, what fraction of the people are wearing glasses?

Setler79 [48]

The girl bit doesn't really matter except for how it says 5/9 which shows that you should factor it by 3's. If you multiply both the 2 and the 3 in 2/3 you would clearly get 6/9. Which is the same thing but is to get it matching with how the question wrote about the people wearing glasses.

Answer: 6/9 people

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2 years ago

What is the slope for the function y=2x^2+2 at the point x= 3?

Katarina [22]

1) We have to calculate the first derivative:
y=2x²+2
y´=4x

2) the slope at the point x=3; will be f´(3);
f´(3)=4(3)=12

answer: the slope will be 12.

3 0

3 years ago